erweitern (x+3)/((x-3)(x+2)^2)

Lösung

erweitern

\frac{x + 3}{( x - 3 ) ( x + 2 ) ^{2}}

\frac{x + 3}{x ^{3} + x ^{2} - 8 x - 12}

Schritte zur Lösung

\frac{x + 3}{( x - 3 ) ( x + 2 ) ^{2}}

(x + 2)^{2} = x^{2} + 4 x + 4

= \frac{x + 3}{( x - 3 ) ( x ^{2} + 4 x + 4 )}

Multipliziere aus

(x - 3) (x^{2} + 4 x + 4) : x^{3} + x^{2} - 8 x - 12

= \frac{x + 3}{x ^{3} + x ^{2} - 8 x - 12}

e x p an d D x (e^{4 x} + cos (3 x))

e x p an d \frac{3 x ^{2} + 5 x - 13}{( 3 x + 2 ) ( x ^{2} - 4 x + 4 )}

e x p an d \frac{( x + 2 ) ( x - 3 )}{( x + 3 )}

e x p an d 2 sin (3 t) (u (t - 2))

e x p an d \frac{( 3 x ^{8} + 1 ) ^{\frac{3}{2}} ( 9 x ^{8} - 2 )}{540}